I wondered whether you were still looking for William Farrant. The London records on this website are rather better now than when you originally posted, and it seems likely that William belongs to my family. This is my current theory, and I wondered whether it fitted in with your research:
1. Samuel FARRANT, son of John FARRANT (1807?-bef1871) and Mary Ann COCHRANE (1816?-1878), was born Q4 1857 in Ventnor, Isle of Wight.(*1) Assumed to be GRO 1857Q4 Isle of Wight 2b/459
Assumed to be GRO 1857Q4 Isle of Wight 2b/459. District Godshill G10/P52. Samuel appeared in the census on 7 April 1861 in Walcot, Somerset. The address was: 1 Margarets Buildings. He appeared in the census on 2 April 1871 in Westminster. The address was: 12 Rupert Street, St James. He was a Carman. He married Fanny Alice MUSGROVE on 18 September 1876 in Bloomsbury, Middlesex. The address was: St George. Groom bachelor (carman) of 21 King Street, Regent Street, son of John FARRANT (horse dealer), bride of 9 Maxwell Street, Soho, daughter of Richard MUSGROVE (jeweller), after banns, witnesses Edmund MORCOMBE, Harriet BRAY. Samuel died Q3 1890 in Pancras Registration District, Middlesex. Assumed to be GRO 1890Q3 Pancras 1b/108. Samuel was buried on 5 September 1890 in St Pancras, London. at Workhouse.
Fanny Alice MUSGROVE, daughter of Richard MUSGROVE ( - ), was born in 1858 (approx.) in Clerkenwell, Middlesex. She appeared in the census on 2 April 1911 in St Pancras, London. The address was: 38 George Street, Euston. She died in 1924 (approx.). Possibly Emily FARRANT GRO 1924Q3 Paddington 1a/54 age 65. She and Samuel FARRANT had the following children:
2 Samuel Richard FARRANT (1876?-1958). Samuel was born in 1876 (approx.) in Bromley, Middlesex. Possibly GRO 1876Q1 Pancras 1b/61. Samuel was a Printer machine minder. He married Maria Katherine FUCHS on 21 August 1904 in St Pancras, London. The address was: All Saints. Bride widow. Samuel died Q1 1958 in Marylebone, London. Assumed to be GRO 1958Q1 Marylebone 5d/436.
3 John FARRANT (1878?-aft1881). John was born in 1878 (approx.) in Middlesex. He died after 3 April 1881.
4 Archibald FARRANT (1880?-aft1901). Archibald was born in 1880 (approx.) in St Giles, Middlesex. He was a Furniture packer. Death assumed to be GRO 1909Q3 St Pancras 1b/6.
5 William FARRANT (1883?-aft1911). William was born in 1883 (approx.) in St Pancras, Middlesex. He was a Carman. He married Caroline ? Q3 1903 in Pancras Registration District, Middlesex. Assumed to be GRO 1903Q3 Pancras 1b/273. William died after 2 April 1911.
6 Amy FARRANT (1885?-aft1911). Amy was born in 1885 (approx.) in Marylebone, Middlesex. She was a Professional actress. She died after 2 April 1911. Possible death 30 Apr 1965 Pancras Registration District.
7 Ernest FARRANT (1889?-1909). Ernest was born in 1889 (approx.) in St Pancras, London. He died Q1 1909 in St Pancras, London. Assumed to be GRO 1909Q1 St Pancras 1b/73.
8 Albert FARRANT (1889?-aft1918). Albert was born in 1889 (approx.) in St Pancras, London. He appeared in the census on 2 April 1911 in Hammersmith, London. The address was: Wormwood Scrubs Prison. He died after 2 August 1918. Possibly GRO 1969Q1 St Marylebone 5d/1005 age 79. Albert married Sarah CROWDER on 3 August 1918 in Camden, London. The address was: St Mary Somers Town. Groom B (motor driver) of 38 St George Street, Hampstead Road son of Samuel FARRANT (deceased), bride S (confectioner) of 26 Clarendon Square daughter of William CROWDER music printer, by banns, witnesses William CROWDER, Amy FARRANT.